Modern cars built in the last 20 years have fuel systems that are all similar: They have electric fuel pumps in the fuel tanks and the fuel tanks are plastic.
Driving with low fuel levels will have no effect on engine life at all. Zero. And since the fuel tank is made of plastic it will not rust. And since the fuel pump recirculates and filters the fuel there really will be little build up of anything.
When the fuel runs too low the fuel pump will suck air, no fuel will reach the engine and it will stop. The engine control system will try to the very last drop to keep the fuel mixture perfect. But when the gas is gone, you go no more. There will be no misfiring or anything else.
But while there will be no damage to the engine there will be damage to the electric fuel pump. These fuel pumps are actually cooled and lubricated by the fuel and without it they will wear out in only a few minutes.
So to answer your question: No, your engine will not be hurt. But your fuel pump will be.
Driving with low fuel levels will have no effect on engine life at all. Zero. And since the fuel tank is made of plastic it will not rust. And since the fuel pump recirculates and filters the fuel there really will be little build up of anything.
When the fuel runs too low the fuel pump will suck air, no fuel will reach the engine and it will stop. The engine control system will try to the very last drop to keep the fuel mixture perfect. But when the gas is gone, you go no more. There will be no misfiring or anything else.
But while there will be no damage to the engine there will be damage to the electric fuel pump. These fuel pumps are actually cooled and lubricated by the fuel and without it they will wear out in only a few minutes.
So to answer your question: No, your engine will not be hurt. But your fuel pump will be.